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Finding the Fourth Proportional to 276,959.86, 415,509.84 and 77,280.16

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Solution

The fourth proportional to 276,959.86, 415,509.84 and 77,280.16 is: 115,939.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,959.86 : 415,509.84 = 77,280.16 : x
  2. Step 2: Convert to fraction form
    276,959.86/415,509.84 = 77,280.16/x
  3. Step 3: Cross multiply
    276,959.86x = 415,509.84 × 77,280.16
  4. Step 4: Simplify right side
    276,959.86x = 32,110,666,916.77
  5. Step 5: Solve for x
    x = 32,110,666,916.77/276,959.86
  6. Step 6: Final answer
    x = 115,939.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.